A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.

Answers

Answer 1

Answer:

a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]

[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]

b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Step-by-step explanation:

a) The centripetal force equation is:

[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]

[tex]\vec{F_{c}}=mR\omega^{2}[/tex]

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]

[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

[tex]|\vec{F_{c}}|=9.53 \: N [/tex]


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Jenna painted l 1/8 of one side of a fence. Mark 3 one the other side of the same sex use greater equal or less to compare of the parts that they painted.

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Answer:

24.5 inches

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Answer:

[tex]16\sqrt{3}[/tex], so therefore:

none of the above

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Answer:

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Answer:

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Answers

Number of years taken to reach the amount of $12,690 is 5 days,

What is Compound interest?

Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.

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Principal amount invested by Lydia = $8,300

Rate of compound interest per day =2.2%

To find the number of years that have taken to reach the amount value of $12,690 .

By using compound interest formula,

[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]

[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]

Taking log on both sides, we get,

log(1.5289156627) =365*t log(1.000060274)

log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒

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What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?

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Answers

Answer:

14,-3

Step-by-step explanation:

Answer:

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Step-by-step explanation:

I got it right edg 2023

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Answers

6+2(24)=6+48=54
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Answer:

the answer is 54 cards . . .....

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Answer:

It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

13 + 24 = 37 the answer is 24

Step-by-step explanation:

Answer: 24

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
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Answers

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Step-by-step explanation:

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The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Line M is parallel to the line L, so the equation for line M isy=4x+b

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Step-by-step explanation:

So,

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Step-by-step explanation:

Given

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= 18.84 inch

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= 3.14 * 9

= 28.26 inch²

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Answers

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Answers

Answer:

(8, 15]

Step-by-step explanation:

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Answer:

explanation:

Step-by-step explanation:

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2: -127.1

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Answers

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B.Arithmetic

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because the terms have a first common difference

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Answer:

Step-by-step explanation: C %100

Answer:

I believe it is d but don't quote me on it

PLEASE HELP ILL GIVE BRAINLIEST AND SO MUCH MORE!!!!
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Answers

Answer:

60 degrees

Step-by-step explanation:

90 digress minus 30 degrees will be 60 degrees

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